114342400 has 60 divisors (see below), whose sum is σ = 283323942. Its totient is φ = 45731840.

The previous prime is 114342367. The next prime is 114342419. The reversal of 114342400 is 4243411.

It can be written as a sum of positive squares in 3 ways, for example, as 71098624 + 43243776 = 8432^2 + 6576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8334 + ... + 17266.

Almost surely, 2^114342400 is an apocalyptic number.

114342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141661971).

114342400 is an abundant number, since it is smaller than the sum of its proper divisors (168981542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114342400 is an frugal number, since it uses more digits than its factorization.

114342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 114342400 is about 10693.1005793455. The cubic root of 114342400 is about 485.3657212483.

Adding to 114342400 its reverse (4243411), we get a palindrome (118585811).

The spelling of 114342400 in words is "one hundred fourteen million, three hundred forty-two thousand, four hundred".